Complete quasi-Yamabe gradient solitons with bounded scalar curvature
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912372538474496 |
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| author | Maeta, Shun |
| author_facet | Maeta, Shun |
| contents | In this paper, we classify complete, nontrivial shrinking and steady quasi-Yamabe gradient solitons whose scalar curvature is bounded below by the soliton constant. We also classify complete, nontrivial expanding and steady quasi-Yamabe gradient solitons whose scalar curvature is bounded above by the soliton constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00463 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Complete quasi-Yamabe gradient solitons with bounded scalar curvature Maeta, Shun Differential Geometry 53C21, 53C25, 53C20 In this paper, we classify complete, nontrivial shrinking and steady quasi-Yamabe gradient solitons whose scalar curvature is bounded below by the soliton constant. We also classify complete, nontrivial expanding and steady quasi-Yamabe gradient solitons whose scalar curvature is bounded above by the soliton constant. |
| title | Complete quasi-Yamabe gradient solitons with bounded scalar curvature |
| topic | Differential Geometry 53C21, 53C25, 53C20 |
| url | https://arxiv.org/abs/2505.00463 |